The generator matrix 1 0 0 1 1 1 0 1 1 X 0 1 0 1 0 X 1 1 1 1 X X 1 1 1 X 1 0 0 1 0 X X 1 X 1 0 1 1 0 1 1 X 0 1 X 1 1 1 0 0 1 1 X 1 1 1 0 X X 1 0 0 1 0 1 X X X 1 0 1 0 0 1 1 1 0 X 0 1 1 1 1 1 0 X X X+1 X+1 1 1 0 1 X 1 1 X 1 1 1 1 1 X X 1 1 1 0 X X X 0 1 X+1 1 0 1 X X 1 0 0 X 1 X+1 0 0 1 1 0 X 1 1 1 1 1 0 1 1 0 0 1 1 1 0 1 X 1 1 X X X+1 1 X 1 1 X X+1 X X+1 X 0 0 1 X+1 X+1 1 0 X+1 0 0 1 X+1 1 X+1 X+1 X+1 X+1 1 X+1 0 1 X 0 X 1 X X 1 1 1 X 1 X X X 1 1 0 1 1 0 X 1 1 0 1 1 0 0 0 0 X 0 0 0 0 0 0 X X X X 0 0 0 X 0 0 0 0 X X X X X 0 0 X 0 X X X 0 0 X 0 X X 0 0 X 0 X 0 X 0 0 0 0 0 0 X X X 0 X X X 0 X 0 X X X 0 0 0 X 0 0 0 0 X 0 0 X 0 X X 0 0 0 0 0 X 0 0 X 0 0 X X X 0 X X X 0 X X 0 X 0 0 X X X 0 0 X X 0 0 X 0 0 X X 0 X 0 0 0 0 0 X X 0 X X 0 X 0 X X 0 0 X 0 0 0 0 0 X 0 0 X X 0 0 X X X X X 0 X 0 X 0 0 X 0 0 0 0 X X 0 X 0 X 0 0 X 0 X 0 X X 0 0 X 0 X X 0 0 X 0 0 X 0 X 0 X 0 X X 0 0 0 0 X X 0 X X 0 0 0 0 0 0 X X X 0 0 X 0 0 0 X 0 0 0 0 0 X X X X X 0 X 0 X X 0 0 X X 0 0 X X X 0 X 0 0 X X 0 X 0 0 X 0 X 0 0 0 0 0 X 0 X X X 0 X 0 X 0 X X generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+276x^64+308x^68+237x^72+88x^76+79x^80+20x^84+15x^88 The gray image is a linear code over GF(2) with n=140, k=10 and d=64. This code was found by Heurico 1.16 in 20 seconds.